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<div class="title">GeneralMatrixMatrixTriangular_MKL.h</div> </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> Copyright (c) 2011, Intel Corporation. All rights reserved.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"></span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> Redistribution and use in source and binary forms, with or without modification,</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> are permitted provided that the following conditions are met:</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"></span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * Redistributions of source code must retain the above copyright notice, this</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> list of conditions and the following disclaimer.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> * Redistributions in binary form must reproduce the above copyright notice,</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> this list of conditions and the following disclaimer in the documentation</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> and/or other materials provided with the distribution.</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * Neither the name of Intel Corporation nor the names of its contributors may</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> be used to endorse or promote products derived from this software without</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> specific prior written permission.</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"></span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment"> (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment"> LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment"> ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment"> (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment"> SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment"></span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment"> ********************************************************************************</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment"> * Content : Eigen bindings to Intel(R) MKL</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment"> * Level 3 BLAS SYRK/HERK implementation.</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment"> ********************************************************************************</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">*/</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#ifndef EIGEN_GENERAL_MATRIX_MATRIX_TRIANGULAR_MKL_H</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_GENERAL_MATRIX_MATRIX_TRIANGULAR_MKL_H</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="keyword">namespace </span>Eigen { </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> </div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Index, <span class="keyword">typename</span> Scalar, <span class="keywordtype">int</span> AStorageOrder, <span class="keywordtype">bool</span> ConjugateA, <span class="keywordtype">int</span> ResStorageOrder, <span class="keywordtype">int</span> UpLo></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="keyword">struct </span>general_matrix_matrix_rankupdate :</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  general_matrix_matrix_triangular_product<</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  Index,Scalar,AStorageOrder,ConjugateA,Scalar,AStorageOrder,ConjugateA,ResStorageOrder,UpLo,BuiltIn> {};</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> </div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment">// try to go to BLAS specialization</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor">#define EIGEN_MKL_RANKUPDATE_SPECIALIZE(Scalar) \</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="preprocessor">template <typename Index, int LhsStorageOrder, bool ConjugateLhs, \</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="preprocessor"> int RhsStorageOrder, bool ConjugateRhs, int UpLo> \</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor">struct general_matrix_matrix_triangular_product<Index,Scalar,LhsStorageOrder,ConjugateLhs, \</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor"> Scalar,RhsStorageOrder,ConjugateRhs,ColMajor,UpLo,Specialized> { \</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor"> static EIGEN_STRONG_INLINE void run(Index size, Index depth,const Scalar* lhs, Index lhsStride, \</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="preprocessor"> const Scalar* rhs, Index rhsStride, Scalar* res, Index resStride, Scalar alpha) \</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="preprocessor"> { \</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="preprocessor"> if (lhs==rhs) { \</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="preprocessor"> general_matrix_matrix_rankupdate<Index,Scalar,LhsStorageOrder,ConjugateLhs,ColMajor,UpLo> \</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="preprocessor"> ::run(size,depth,lhs,lhsStride,rhs,rhsStride,res,resStride,alpha); \</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="preprocessor"> } else { \</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="preprocessor"> general_matrix_matrix_triangular_product<Index, \</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="preprocessor"> Scalar, LhsStorageOrder, ConjugateLhs, \</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="preprocessor"> Scalar, RhsStorageOrder, ConjugateRhs, \</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="preprocessor"> ColMajor, UpLo, BuiltIn> \</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="preprocessor"> ::run(size,depth,lhs,lhsStride,rhs,rhsStride,res,resStride,alpha); \</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="preprocessor"> } \</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="preprocessor"> } \</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="preprocessor">};</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> EIGEN_MKL_RANKUPDATE_SPECIALIZE(<span class="keywordtype">double</span>)</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="comment">//EIGEN_MKL_RANKUPDATE_SPECIALIZE(dcomplex)</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> EIGEN_MKL_RANKUPDATE_SPECIALIZE(<span class="keywordtype">float</span>)</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="comment">//EIGEN_MKL_RANKUPDATE_SPECIALIZE(scomplex)</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> </div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="comment">// SYRK for float/double</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="preprocessor">#define EIGEN_MKL_RANKUPDATE_R(EIGTYPE, MKLTYPE, MKLFUNC) \</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="preprocessor">template <typename Index, int AStorageOrder, bool ConjugateA, int UpLo> \</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="preprocessor">struct general_matrix_matrix_rankupdate<Index,EIGTYPE,AStorageOrder,ConjugateA,ColMajor,UpLo> { \</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="preprocessor"> enum { \</span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="preprocessor"> IsLower = (UpLo&Lower) == Lower, \</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="preprocessor"> LowUp = IsLower ? Lower : Upper, \</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="preprocessor"> conjA = ((AStorageOrder==ColMajor) && ConjugateA) ? 1 : 0 \</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="preprocessor"> }; \</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="preprocessor"> static EIGEN_STRONG_INLINE void run(Index size, Index depth,const EIGTYPE* lhs, Index lhsStride, \</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="preprocessor"> const EIGTYPE* rhs, Index rhsStride, EIGTYPE* res, Index resStride, EIGTYPE alpha) \</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="preprocessor"> { \</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> <span class="preprocessor"> </span><span class="comment">/* typedef Matrix<EIGTYPE, Dynamic, Dynamic, RhsStorageOrder> MatrixRhs;*/</span><span class="preprocessor"> \</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="preprocessor">\</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="preprocessor"> MKL_INT lda=lhsStride, ldc=resStride, n=size, k=depth; \</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="preprocessor"> char uplo=(IsLower) ? 'L' : 'U', trans=(AStorageOrder==RowMajor) ? 'T':'N'; \</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="preprocessor"> MKLTYPE alpha_, beta_; \</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="preprocessor">\</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> <span class="preprocessor"></span><span class="comment">/* Set alpha_ & beta_ */</span><span class="preprocessor"> \</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="preprocessor"> assign_scalar_eig2mkl<MKLTYPE, EIGTYPE>(alpha_, alpha); \</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="preprocessor"> assign_scalar_eig2mkl<MKLTYPE, EIGTYPE>(beta_, EIGTYPE(1)); \</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="preprocessor"> MKLFUNC(&uplo, &trans, &n, &k, &alpha_, lhs, &lda, &beta_, res, &ldc); \</span></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="preprocessor"> } \</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="preprocessor">};</span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="comment">// HERK for complex data</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="preprocessor">#define EIGEN_MKL_RANKUPDATE_C(EIGTYPE, MKLTYPE, RTYPE, MKLFUNC) \</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="preprocessor">template <typename Index, int AStorageOrder, bool ConjugateA, int UpLo> \</span></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="preprocessor">struct general_matrix_matrix_rankupdate<Index,EIGTYPE,AStorageOrder,ConjugateA,ColMajor,UpLo> { \</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="preprocessor"> enum { \</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="preprocessor"> IsLower = (UpLo&Lower) == Lower, \</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="preprocessor"> LowUp = IsLower ? Lower : Upper, \</span></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> <span class="preprocessor"> conjA = (((AStorageOrder==ColMajor) && ConjugateA) || ((AStorageOrder==RowMajor) && !ConjugateA)) ? 1 : 0 \</span></div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="preprocessor"> }; \</span></div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="preprocessor"> static EIGEN_STRONG_INLINE void run(Index size, Index depth,const EIGTYPE* lhs, Index lhsStride, \</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="preprocessor"> const EIGTYPE* rhs, Index rhsStride, EIGTYPE* res, Index resStride, EIGTYPE alpha) \</span></div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="preprocessor"> { \</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="preprocessor"> typedef Matrix<EIGTYPE, Dynamic, Dynamic, AStorageOrder> MatrixType; \</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="preprocessor">\</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="preprocessor"> MKL_INT lda=lhsStride, ldc=resStride, n=size, k=depth; \</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="preprocessor"> char uplo=(IsLower) ? 'L' : 'U', trans=(AStorageOrder==RowMajor) ? 'C':'N'; \</span></div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="preprocessor"> RTYPE alpha_, beta_; \</span></div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="preprocessor"> const EIGTYPE* a_ptr; \</span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="preprocessor">\</span></div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="preprocessor"></span><span class="comment">/* Set alpha_ & beta_ */</span><span class="preprocessor"> \</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="preprocessor"></span><span class="comment">/* assign_scalar_eig2mkl<MKLTYPE, EIGTYPE>(alpha_, alpha); */</span><span class="preprocessor">\</span></div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="preprocessor"></span><span class="comment">/* assign_scalar_eig2mkl<MKLTYPE, EIGTYPE>(beta_, EIGTYPE(1));*/</span><span class="preprocessor"> \</span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="preprocessor"> alpha_ = alpha.real(); \</span></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="preprocessor"> beta_ = 1.0; \</span></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="preprocessor"></span><span class="comment">/* Copy with conjugation in some cases*/</span><span class="preprocessor"> \</span></div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="preprocessor"> MatrixType a; \</span></div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="preprocessor"> if (conjA) { \</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="preprocessor"> Map<const MatrixType, 0, OuterStride<> > mapA(lhs,n,k,OuterStride<>(lhsStride)); \</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="preprocessor"> a = mapA.conjugate(); \</span></div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="preprocessor"> lda = a.outerStride(); \</span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="preprocessor"> a_ptr = a.data(); \</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="preprocessor"> } else a_ptr=lhs; \</span></div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="preprocessor"> MKLFUNC(&uplo, &trans, &n, &k, &alpha_, (MKLTYPE*)a_ptr, &lda, &beta_, (MKLTYPE*)res, &ldc); \</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="preprocessor"> } \</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="preprocessor">};</span></div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> EIGEN_MKL_RANKUPDATE_R(<span class="keywordtype">double</span>, <span class="keywordtype">double</span>, dsyrk)</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> EIGEN_MKL_RANKUPDATE_R(<span class="keywordtype">float</span>, <span class="keywordtype">float</span>, ssyrk)</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> </div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> <span class="comment">//EIGEN_MKL_RANKUPDATE_C(dcomplex, MKL_Complex16, double, zherk)</span></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="comment">//EIGEN_MKL_RANKUPDATE_C(scomplex, MKL_Complex8, double, cherk)</span></div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> </div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> </div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> } <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> </div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> } <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> </div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> <span class="preprocessor">#endif // EIGEN_GENERAL_MATRIX_MATRIX_TRIANGULAR_MKL_H</span></div>
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